What is the Greatest Common Factor of 99344 and 99358?

Greatest common factor (GCF) of 99344 and 99358 is 14.

GCF(99344,99358) = 14

We will now calculate the prime factors of 99344 and 99358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99344 and 99358.

How to find the GCF of 99344 and 99358?

We will first find the prime factorization of 99344 and 99358. After we will calculate the factors of 99344 and 99358 and find the biggest common factor number .

Step-1: Prime Factorization of 99344

Prime factors of 99344 are 2, 7, 887. Prime factorization of 99344 in exponential form is:

99344 = 2⁴ × 7¹ × 887¹

Step-2: Prime Factorization of 99358

Prime factors of 99358 are 2, 7, 47, 151. Prime factorization of 99358 in exponential form is:

99358 = 2¹ × 7¹ × 47¹ × 151¹

Step-3: Factors of 99344

List of positive integer factors of 99344 that divides 99344 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 887, 1774, 3548, 6209, 7096, 12418, 14192, 24836, 49672

Step-4: Factors of 99358

List of positive integer factors of 99358 that divides 99344 without a remainder.

1, 2, 7, 14, 47, 94, 151, 302, 329, 658, 1057, 2114, 7097, 14194, 49679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99344 and 99358. The biggest common factor number is the GCF number.
So the greatest common factor 99344 and 99358 is 14.

Also check out the Least Common Multiple of 99344 and 99358